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Table 4 Measurement invariance for nested model comparisons of major sub-groupsa

From: Construct validation of judgement-based assessments of medical trainees’ competency in the workplace using a “Kanesian” approach to validation

Grouping Model df χ2b χ 2/df RMSEA CFI TLI SRMR ∆χ2 p-value for ∆χ2 ∆CFI ∆TLI ∆SRMR
(90 % CI)
Female and Male Supervisors Unconstrained 107 302.01 2.82 0.072 0.914 0.912 0.0746      
(0.063–0.082)
All factor loadings constrained equal 118 323.37 2.74 0.071 0.910 0.916 0.0739 21.36 0.030 0.004 −0.004 0.0007
(0.062–0.080)
Female and Male Trainees Unconstrained 107 296.97 2.775 0.072 0.916 0.914 0.0599      
(0.062–0.081)
All factor loadings constrained equal 118 304.27 2.579 0.067 0.918 0.924 0.0601 7.299 0.774 0.002 −0.010 0.0002
(0.058–0.077)
Overseas (OTDs) and Australian Trained Doctors (ATDs) Unconstrained 107 283.35 2.648 0.069 0.922 0.919 0.0718      
(0.059–0.079)
All factor loadings constrained equal 118 301.60 2.556 0.067 0.918 0.924 0.0710 18.248 0.076 0.004 −0.004 0.0008
(0.058–0.076)
  1. aAssuming models unconstrained to be correct
  2. bAll p-values <0.000 for the model χ2
  3. χ2 minimum fit function chi-square, RMSEA root mean square error of approximation, CFI comparative fit index, TLI Tucker-Lewis index, SMSR standardized root mean square residual, Δ parameter difference between constrained and unconstrained model